Figure 1

(a) Modulus of the specular reflection coefficient $|r_{\mathrm{p}}|$ of a perfect-conductor surface perforated by infinitely deep square holes (see inset for parameters) as a function of wavelength $\lambda$ and momentum parallel to the surface $k_{\parallel }$. The surface mode predicted in Ref. 2 is shown by a dashed curve. (b) Detail of the reflection coefficient $r_{\mathrm{p}}$ along the AB segment of (a).Reuse & Permissions

Figure 2

(a) Electrostatic electric-field flow lines for an empty hole drilled in a semi-infinite perfect-conductor subject to an external field ${\mathbf{E}}^{\mathrm{ext}}$ perpendicular to the surface, giving rise to an electric dipole $\mathbf{p}={\alpha }_{\mathrm{E}}{\mathbf{E}}^{\mathrm{ext}}$ as seen from afar. (b) Magnetostatic magnetic-field flow lines for the same hole subject to an external parallel field ${\mathbf{H}}^{\mathrm{ext}}$ and leading to a magnetic dipole $\mathbf{m}={\alpha }_{\mathrm{M}}{\mathbf{H}}^{\mathrm{ext}}$. (c) Summary of polarizabilities for square and circular holes in PCSs, normalized using the hole area $A$. The circular hole in a perfect-conductor thin screen is analytical [15, 16], but the right-hand side of Eq. (8) must be corrected by a factor of 4 in this case due to cooperative interaction between both sides of the film.Reuse & Permissions

Figure 3

(a) Real part of the dipole-dipole interaction sums for a square lattice of period $d$ [Eq. (5) for $k_{\parallel }\gtrsim k$]. (b) Electric (solid curve) and magnetic (dashed curve) polarizabilities of single circular holes filled with ${ϵ}_{\mathrm{h}}=10$ material as a function of hole size. (c) Same as (b) for dimples.Reuse & Permissions

Figure 4

Inverse of the electrostatic polarizability of a single circular hole of area $A$ as a function of the dielectric constant ${ϵ}_{\mathrm{h}}$ of the filling material. The field strength distribution is shown in the insets for the two lowest-order resonances in the $-1<{ϵ}_{\mathrm{h}}<0$ range. The magnetostatic response is independent of ${ϵ}_{\mathrm{h}}(A^{3/2}/{\alpha }_{\mathrm{M}}\approx 37.3)$.Reuse & Permissions